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Finding the Fourth Proportional to 382.29, 527.64 and 242.60

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Solution

The fourth proportional to 382.29, 527.64 and 242.60 is: 334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.29 : 527.64 = 242.60 : x
  2. Step 2: Convert to fraction form
    382.29/527.64 = 242.60/x
  3. Step 3: Cross multiply
    382.29x = 527.64 × 242.60
  4. Step 4: Simplify right side
    382.29x = 128,005.46
  5. Step 5: Solve for x
    x = 128,005.46/382.29
  6. Step 6: Final answer
    x = 334.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.